What is the result when the number 17 is decreased by 4.9%?

Answer:

x=9.3

Step-by-step explanation:

use SohCahToa

in this case u use cos

cos(41°)=7/x

x=7/cos(41)

x=9.275090953

x=9.3

Answer:

37.5 sq in

Step-by-step explanation:

In order to find the actual width and length of the wall, we need to set up a proportion.

Let L = the length

W = the width

\(\frac{1}{2.5} = \frac{2}{W} = \frac{3}{L}\)

Use the first and second fractions

W = 2(2.5) = 5 in = width

Use the first and third fractions

L = 3(2.5) = 7.5 in = length

Actual Area = LW = 7.5(5) = 37.5 sq in

Tina is building a birdhouse. A rectangular wall of her birdhouse has a drawing length of 2 inches and width of 3 inches then actual area of the wall be 37.5 square inches.

The area of rectangle is length times of width.

Tina is building a birdhouse. A rectangular wall of her birdhouse has a drawing length of 2 inches and width of 3 inches.

Given scale is 1 inch : 2.5 inches,

Length is 2 inches, so 2(2.5)=5 inches.

Width is 3 inches, so 3(2.5)=7.5 inches.

The area of rectangle is length*Width

Area of rectangle= length*Width

=5×7.5

=37.5 square inches.

Therefore actual area of the wall be 37.5 square inches.

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The answers are below:

{X = 6, Y = -3}

Note: The first image is how to solve for Y. The second image is how to solve for X.

Answer:

I think maybe it is the answer please double check before you write it

Step-by-step explanation:

please make me as brainliest

Answer:

9

Step-by-step explanation:

if she has 14 and then spends 5 she will have 9. 4-5=9

A line, line segment, or ray that divides an angle into two congruent angles is called an angle bisector.

What are supplementary angles example?

Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because sum of 130° and 50° is equal to 180°. Similarly, complementary angles add up to 90 degrees.

What do you mean by angle bisector?

If the angle is divided by the line and the angle is divided such that the angles are equal to each other then the line is called the angle bisector.

The word congruent means equal of the things. In this, the angles are congruent to each other which means the angles are equal to each other.

Thus, the black space is to be filled by the angle bisector.

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Answer:

Width = 2

Length  = 16

Step-by-step explanation:

lets start by writing everything we know

Area = 32 sqft

l = 2w + 12

l * w = 32

we can substitute l for 2w + 21 to figure what w equals

(2w + 12)w = 32

distribute the w

2w^2 + 12w = 32

2w^2 + 12w - 32 = 0

use quadratic formula to solve

w = -8, or 2

it can't be -8, so we will check with 2

2(2)^2 + 12(2) - 32 = 0

8 + 24 -32 = 0

32-32 = 0

l = 2(2) + 12

l = 4 + 12

l = 16

2*16 =32

Width = 2

Length  = 16

Answer:

30%

Step-by-step explanation:

because you use %

so that is why i think but i am not sure

Answer:

k=1

Step-by-step explanation:

so FG and FE are equal meaning same magnitude

formula for magnitude is √{x2-x1}+{y2-y1}

(the square root is for all of it)

so use line FG since you have both points

you get √7 as magnitude

then apply it to FE

√7=√(4-0)+(4-k)

you can square both sides to remove the root and you get k=1

(when calculating magnitude the value is always absolute no regard to signs)

Answer:

- 199

Step-by-step explanation:

7.

a1 = 25

d = - 16

15th term is t15.

Formula : -

an = a + ( n - 1 )d

t15

= 25 + ( 15 - 1 ) - 16

= 25 + 14 ( - 16 )

= 25 + ( - 224 )

= 25 - 224

= - 199

Answer:

C) (2, -8)

Step-by-step explanation:

The rule for a 180 degree rotation is negating both coordinates (making both x and y the opposite sign)

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

Question: Express the following as a linear combination of u =(3, 1,6), v = (1.-1.4) and w=(8,3,8). (14, 9, 14) = ____ u- _____ v+ _____

Current Progress: To express the given vector as a linear combination of u, v, and w, we need to find scalars a, b, and c such that (14, 9, 14) = a*u + b*v + c*w.

Step 1: Write the equation in component form:
(14, 9, 14) = (3a + b + 8c, a - b + 3c, 6a + 4b + 8c)

Step 2: Equate the corresponding components and solve for a, b, and c:
3a + b + 8c = 14
a - b + 3c = 9
6a + 4b + 8c = 14

Step 3: Solve the system of equations using any method (substitution, elimination, etc.). One possible solution is a = 1, b = -1, and c = 3.

Step 4: Plug the values of a, b, and c back into the linear combination equation:
(14, 9, 14) = 1*u + (-1)*v + 3*w

Step 5: Simplify the equation:
(14, 9, 14) = u - v + 3w

Answer: The given vector can be expressed as a linear combination of u, v, and w as (14, 9, 14) = u - v + 3w.

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Answer:

B. Mixed numbers with unlike denominators can be subtracted from each other.

Step-by-step explanation:

Mixed numbers are numbers that have a whole part and a fractional part, such as 2 1/4 or 3 3/5. Unlike denominators are fractions that have different numbers in the bottom, such as 1/4 and 3/5. They are also called unlikeable denominators because they make math harder and more annoying. Who likes to deal with fractions anyway?

Mixed numbers with unlike denominators can be subtracted from each other, but only if you follow some tedious steps. First, you have to find a common denominator for the fractions, which is the smallest number that both denominators can divide into. This is like finding a common enemy for two rival gangs. For example, to subtract 2 1/4 from 3 3/5, we need to find a common denominator for 1/4 and 3/5. The least common denominator is 20, because both 4 and 5 can divide into it. Then, we have to multiply both fractions by the same factor to get equivalent fractions with the same denominator. This is like dressing up both gangs in the same uniform to make them look alike. For example, we multiply 1/4 by 5/5 and 3/5 by 4/4 to get:

2 1/4 = 2 5/20

3 3/5 = 3 12/20

Now we can subtract the fractions by subtracting the numerators and keeping the denominators the same. This is like taking away some members from each gang and seeing who has more left. For example, we subtract 5/20 from 12/20 and get 7/20. Then we subtract 2 from 3 and get 1. Finally, we add the whole part and the fractional part together to get the final answer. This is like adding up the remaining members of one gang and giving them a name. For example, we get:

3 12/20 - 2 5/20 = (3 - 2) + (12/20 - 5/20) = 1 + 7/20 = 1 7/20

Therefore, the correct answer is B. Mixed numbers with unlike denominators can be subtracted from each other. But why would you want to do that? It's much easier to use decimals or percentages instead. Fractions are so last century.

Answer:

they both will fail because, it says that james has a 0.1 more chance of passing the test compared to Kian but it no where states the amount to pass the test nor that they both will pass

In mathematics, the place value chart is a tool that helps students understand the value of digits in a number. It is a visual representation of how digits are grouped and arranged to represent numbers. The place value chart is arranged in columns, with each column representing a different place value.

The place value chart starts with the ones place, also called units place. This is the rightmost column and it represents the ones digit in a number. The next column is the tens place, which represents the tens digit in a number. The hundredth place represents the hundreds digit and so on. Each column is ten times larger than the previous one.

A place value chart can be used to understand the value of a digit in a number.

Place value chart also helps to understand decimal numbers, which are numbers that have a decimal point. The decimal point separates the whole numbers from the fractional numbers. Each place to the right of the decimal point represents a smaller value.

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We will have a Deficit balance of $30 at the end of the month.

"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."

Weekly net income = $380

Monthly net income = $380 * 4 weeks = $1520.

Monthly expenses = $1550

Balance = Monthly income - monthly expenses = $-30.

The negative sign shows a deficit of $30 monthly

Therefore, We will have a Deficit balance of $30 at the end of the month.

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Answer:

true

Step-by-step explanation:

.............................

506 x - 92 y + 90 = 498 - 4 x + 6 y

Geometric figure:

line

y = (255 x)/49 - 204/49

510 x - 98 y - 408 = 0

506 x - 92 y + 90 = 6 (y + 83) - 4 x

Real solution:

y = (255 x)/49 - 204/49

Solution:

y = (255 x)/49 - 204/49

Integer solution:

x = 49 n + 40, y = 255 n + 204, n element Z

Solution for the variable y:

y = 51/49 (5 x - 4)

Answer:

Hi! The answer to your question is \(x =\frac{49y}{255} +\frac{4}{5}\)

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:5.03

Step-by-step explanation:

Given the expression:

We will rewrite the expression to be as the form (x - a)² = b

So, we need to make a complete square

The coefficient of x = -2

Half the coefficient = -1

Square it will give 1

So, add (1) to both sides of the equation

Factor the left side of the equation, it is a complete square

Compare the result to the given form.

So, the answer will be:

Answer:

If there are 1000 customers in the store one week, how many will purchase exactly one of these items

1000 CUSTOMERS*28%=280

Step-by-step explanation:

A The event that a persons buys a suit  

B The event that a person buys a shirt  

C The event that a person buys a tie  

P(A)=  22%

P(B)=  30%

P(C)=  28%

P(AB)= 11%

P(AC)= 14%

P(BC)= 10%

P(ABC)= 6%

A u B u C Is the event that any item is bougth

AC u AC u BC Is the event that any two events occured

So the wanted probability is

P[(A u B u C )(AB u AC u BC)^c

P[(A u B u C )=P(AB)+ P(BC)+P(BC)

P[(A u B u C ) =0.22+0.30+0.28-0.11-0.14.-0.10+0.06

                      =0,51

0,51=+0,23+P[(A u B u C )(AB u AC u BC)^c

        =0,28

1000 CUSTOMERS*28%=280

The marginal propensity to consume (MPC) for Australia in 2021, when total income (Y) is 10, is 0.3.

The consumption function for Australia in 2021 is given as C = 0.0052 + 0.3Y + 20, where C represents the total consumption and Y represents the total income. To calculate the MPC, we need to determine how much of an increase in income is consumed rather than saved. In this case, when Y = 10, we substitute the value into the consumption function:

C = 0.0052 + 0.3(10) + 20

C = 0.0052 + 3 + 20

C = 23.0052

Next, we calculate the consumption when income increases by a small amount, let's say ΔY. So, when Y increases to Y + ΔY, the consumption function becomes:

C' = 0.0052 + 0.3(Y + ΔY) + 20

C' = 0.0052 + 0.3Y + 0.3ΔY + 20

To find the MPC, we subtract the initial consumption (C) from the new consumption (C') and divide it by the change in income (ΔY):

MPC = (C' - C) / ΔY

MPC = (0.0052 + 0.3Y + 0.3ΔY + 20 - 23.0052) / ΔY

Simplifying the equation, we can cancel out the terms that don't involve ΔY:

MPC = (0.3ΔY) / ΔY

MPC = 0.3

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the probability that someone prefers the lemon-flavored water over both competitors' brands is approximately 13.3%

we need to look at the overlap between the two groups that preferred the lemon-flavored water over competitor A and competitor B. According to the survey results, 35% of the 1000 people surveyed preferred the lemon-flavored water over competitor A, and 38% preferred it over competitor B. However, we also know that 47% did not prefer the lemon-flavored water over either competitor's brand.
To calculate the probability that someone prefers the lemon-flavored water over both competitors' brands, we need to use conditional probability. We can start by subtracting the percentage of people who did not prefer the lemon-flavored water over either competitor's brand from 100% to get the percentage of people who preferred at least one of the three drinks.
100% - 47% = 53%
Next, we can find the probability that someone prefers the lemon-flavored water over both competitors' brands by multiplying the percentages of people who preferred the lemon-flavored water over competitor A and competitor B.
35% × 38% = 13.3%
In conclusion, based on the survey results, we can say that there is a 13.3% probability that someone prefers the lemon-flavored water over both competitor A and competitor B.

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Answer:

option B ................

is the correct answer

Given:

Number of students = 312

Number to be chosen = 4

To find the number of ways this can happen, let's use combination meyhod.

Thus, we have:

Solving further, we have:

Therefore there are 387,278,970 ways this can happen

ANSWER:

387,278,970 ways

Answer:

6.83and 7.03 this is the answer

Answer:

6.83, 6.93, 7.03, 7.13, 7.23, 7.33 always add .10 each time.

Step-by-step explanation:

The company should not stop the production line, as it is highly unlikely to get exactly 6 baseballs with straight stitching.

To solve this, we need to use the binomial probability distribution to find the probability of getting exactly six out of eight baseballs with straight stitching, given that the proportion of baseballs with straight stitching is 0.938.

The probability of getting exactly k successful outcomes out of n independent trials, where each trial has probability of success p, is given by the formula:

P(k) = (n choose k) * p^k * (1-p)^(n-k)

where "n choose k" is the binomial coefficient, which is the number of ways to choose k items from a set of n items.

In this case, the number of independent trials is 8, the probability of success is 0.938, and the number of successful outcomes is 6.

so, P(6) = (8 choose 6) * (0.938^6) * (1-0.938)^2

As we can see, this is a very low probability, so the company should not stop the production line, as it is highly unlikely to get exactly 6 baseballs with straight stitching.

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The bearing of the individuals from each other are as indicated below;

It follows from the task content that the bearing of the individuals from each other are expected to be determined.

a) For Henley from Dinder; it follows from observation that Henley is; S45°E of Dinder's position.

b) For Dinder from Weare; it follows from observation that Dinder is; N25°E of Weare's position.

c) For Weare from Dinder; it follows from observation that Weare is; S65°E of Dinder's position.

d) For Weare from Henly; it follows from observation that Weare is; S15°E of Dinder's position.

e) For Dinder from Henly; it follows from observation that Dinder is; N45°E of Henly's position.

f) For Henly from Weare; it follows from observation that Henly is; N75°E of Weare's position.

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The function h(t)=125+(440π)t gives the height of the tip of the blade as a function of time in minutes.

What is function?

In mathematics, a function is a mathematical relationship that assigns a unique output value to each input value.

To construct a function that describes the height of the tip of a blade on a turbine with 95-foot blades, we consider the vertical motion of the blade as it rotates. Assuming the turbine is initially positioned with one blade pointing straight up and measuring time in minutes:

Determine the distance covered in one revolution:

The circumference of the circle described by the tip of the blade is equal to the length of the blade, which is 95 feet. The distance covered in one revolution is calculated as the circumference of the circle, which is

2π times the radius. The radius is the sum of the height of the turbine's center and the length of the blade.

Radius = 125 + 95 = 220 feet

Distance covered in one revolution =  2π⋅220=440π feet

Determine the height at a specific time:

Since the turbine rotates at a speed of 9 revolutions per minute, time in minutes is directly related to the number of revolutions. For each revolution, the height increases by the distance covered in one revolution.

Let t represent time in minutes, and h(t) represent the height of the tip of the blade at time t. We can define

h(t) as: h(t)=125+(440π)t

Therefore, the function h(t)=125+(440π)t gives the height of the tip of the blade as a function of time in minutes.

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Answer:

24x^8

Step-by-step explanation:

To solve for b, we need to get b on one side of the equation and all the other numbers on the other side. To do this, we can start by adding 3 1/2 to both sides of the equation:

-3 1/2 + 3 1/2 = 1 1/4b + 3 1/2

This simplifies to:

0 = 1 1/4b + 3 1/2

Now we can subtract 3 1/2 from both sides of the equation:

0 - 3 1/2 = 1 1/4b

This gives us:

-3 1/2 = 1 1/4b

To solve for b, we can divide both sides of the equation by 1 1/4. To do this, we need to convert the mixed number to an improper fraction:

-14/2 = 1 1/4b

Now we can divide both sides of the equation by 1 1/4:

-14/2 ÷ 1 1/4 = b

This simplifies to:

-7/1 = b

So the value of b is -7

It is worth noting that the solution for b is a negative number, it is possible that the original problem is not well defined and it might not have a solution.

Answer:

b = -2 4/5

Step-by-step explanation:

-3 1/2 = 1 1/4 b

-7/2 = 5/4 b

b = -7/2 × 4/5

b = -28/10

b = -14/5

b = -2 4/5